Verfügbarkeit: Equilibrium states in negative curvature

Equilibrium states in negative curvature:

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Bibliographische Detailangaben
Beteiligte Personen:	Paulin, Frédéric 1962- (VerfasserIn), Pollicott, Mark 1959- (VerfasserIn), Schapira, Barbara (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Paris Société Mathématique de France 2015
Schriftenreihe:	Astérisque 373
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028649239&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Bibliography p. 271-281
Umfang:	VIII, 281 Seiten
ISBN:	9782856298183

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Datensatz im Suchindex

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adam_text	Titel: Equilibrium states in negative curvature Autor: Paulin, Frédéric Jahr: 2015 CONTENTS 1. Introduction 1 2. Background on negatively curved manifolds ...................... 13 2.1. Uniform local Holder-continuity ..................................... 11 2.2. Boundary at infinity, isometries and the Busemann eocycle ......... 15 2.3. The geometry of ! lie unit tangent bundle ........................... IS 2.4. Geodesic (low. (unlstable foliations and the llamonstiidt distances .. 21 2.5. Some exercises in hyperbolic geometry .............................. 25 2.(i. Pushing measures by branched covers ............................... 28 3. A Patterson-Sullivan theory for Gibbs states ................. 3.1. Potential functions and their periods ............................ 3.2. The Poincare series and (he critical exponent of (P. /•’) .......... 3.3. The Gibbs cocyele of (P. F) ..................................... 3.4. Tin potential gap of (P. F) ..................................... 3.5. The erossratio of (P. F) ......................................... 34). The Patterson densities of (P. F) ................................ 3.7. The Gibbs states of (P. ƒ•’) ...................................... 3.8. The Gibbs property of Gibbs states ............................. 34). Conditional measures of Gibbs states on strong (unlstable leaves 31 31 3 1 39 11 18 59 ( 1(1 4. Critical exponent and Gurevich pressure .......................... 75 1.1. Counting orbil points and periodic geodesics ........................ 75 1.2. I.ogaril hmie growt h of I he orbit al count ing limet ions ............... 77 1.3. Kquality lu tween critical exponent and Gurevich pressure .......... 85 1.1. Critical exponent of Seliol I ky semigroups ........................... 87 5. A Hopf-Tsuji-Sullivan-Roblin theorem for Gibbs states ......... 1115 5.1. Some geometric notation ............................................ 105 5.2. I he I lopi-I suji-Sulli van-li oblin theorem for Gibbs st at es ........... 108 5.3. I niqueness ol Put terson densil ies and ol Gibbs st ales ............... ]\|8 6. Thermodynamic, formalism and equilibrium states ............... 123 0.1. Measurable partitions and entropy .................................. 125 (i.2. Prool of I he variai ional principle .................................... 127 ( ’( l.VI KNTS viii 7. The Liouville measure as a Gibbs measure ........................ 1 12 7.1. The I I( )l(l(T-( o]il imiily of ! lie (un)st ahle Jacohian ................... 110 7.7. Absolut e eont imiily of t lie si rong unst ahle loliat ion ................. 150 77i. The Liouville measure as an ( (juilil riuni stati ...................... 152 7.1. The Liouville measui e salislies the Clihhs property .................. 155 7.5. Conservative Liouville measures an- Clihhs measures ................ 15!) 8. FiniteiK ss and mixing of Gibbs statos ............................. 105 s. I. bu lu Ilot s n i i x i 11 ei, cri t erion lor Gihhs stati s .......................... 105 8.2. A liniteuess erilerioii lor (lihhs s(aies ............................... 108 !). Growt.h and equidistributionof orbits and periods ............... 175 !). 1. ( onvergenee of nii asures on t lie square produet ..................... 175 0.2. ( omit i 11 p orhil points ol discret e groups ............................ 185 O..’,. Lquii 1 i s t ri luit ion and eomit ing of perioilie mbit s ol the géodésie f low I 85 t). I. The rase ol infinité Gihhs measure .................................. l!)(i 10. The ergodic theory of the strong nnstable foliation ............. 10!) 1(1.1. ()unsi-mvnrianl trausver.se tui’asuirs ............................... 100 10.2. Ouasi-invariant measures on t lie spaee ol horospheres .............. 208 10.2. ( lassilieal ion ol quasi-invariant I ransverse measures for // ...... 200 1 1. Gibbs stat?s on Galois covers ...................................... III. 1 u i pro i ng Mohseti s sliai low l?tum? ................................ 1 1.2. I lie I a t o 11 -1 i o h I i 1 1 radial rnuvergeuee t Iteoreni ..................... 11.5. ( ha i ael ers a m 1 e ri t ira I ex poni lit s .................................. 11.1. ( liaraet ers ami l’al I erse in deilsil les ................................ lia ( ’I la i a et ers a i n I l lie I lopl -Tsu ji-Sulli van-Uohlin I lieorem ............ I 1.0. (taillis revers ; 1 1 1 ( I élit irai exponeilts ............................... IL . * lassilieal ion ol ergodie l’allersnii densities on uilpotent envers .... 222 22 1 228 2 10 2 10 2 10 252 List of sy mbols ........................................................... 201 Index ...................................................................... 205 bibliographe
any_adam_object	1
author	Paulin, Frédéric 1962- Pollicott, Mark 1959- Schapira, Barbara
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author_facet	Paulin, Frédéric 1962- Pollicott, Mark 1959- Schapira, Barbara
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indexdate	2024-12-20T17:31:37Z
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isbn	9782856298183
language	English
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series	Astérisque
series2	Astérisque
spellingShingle	Paulin, Frédéric 1962- Pollicott, Mark 1959- Schapira, Barbara Equilibrium states in negative curvature Astérisque
title	Equilibrium states in negative curvature
title_auth	Equilibrium states in negative curvature
title_exact_search	Equilibrium states in negative curvature
title_full	Equilibrium states in negative curvature Frédéric Paulin, Mark Pollicott, Barbara Schapira
title_fullStr	Equilibrium states in negative curvature Frédéric Paulin, Mark Pollicott, Barbara Schapira
title_full_unstemmed	Equilibrium states in negative curvature Frédéric Paulin, Mark Pollicott, Barbara Schapira
title_short	Equilibrium states in negative curvature
title_sort	equilibrium states in negative curvature
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028649239&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV002579439
work_keys_str_mv	AT paulinfrederic equilibriumstatesinnegativecurvature AT pollicottmark equilibriumstatesinnegativecurvature AT schapirabarbara equilibriumstatesinnegativecurvature

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